Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/10474
Title: An accurate finite difference scheme for Boussinesq equations
Authors: Zhan, JM
Li, YS 
Wai, OWH 
Keywords: Boussinesq equations
Finite difference scheme
Space-staggered grid
Tridiagonal system of equations
Issue Date: 2004
Publisher: Taylor & Francis Ltd
Source: International journal of computational fluid dynamics, 2004, v. 18, no. 5, p. 421-430 How to cite?
Journal: International Journal of Computational Fluid Dynamics 
Abstract: In this paper, a stable and accurate finite difference scheme using a space-staggered grid is proposed for solving the extended Boussinesq-type equations as derived by Nwogu [Journal of Waterway, Port Coastal and Ocean Engineering, ASCE, 119, (1993) 618-638]. The alternate direction iterative method combined with an efficient predictor-corrector scheme is adopted for the numerical solution of the governing differential equations. The proposed method is verified by two test cases where experimental data are available for comparison. The first case is wave focusing by bottom topography as studied by Whalin [The limit of applicability of linear wave refraction theory in a convergence zone. Res. Rep. H-71-3, U.S.Army Corps of Engrs. Waterways Expt. Station, Vicksburg (1971)]. The second case is wave runup around a circular cylinder as investigated experimentally by Isaacson (Journal of the Waterway, Port, Coastal and Ocean Division, ASCE, 104, (1978), 69-79). Numerical results agree very well with the corresponding experimental data in both cases.
URI: http://hdl.handle.net/10397/10474
ISSN: 1061-8562
DOI: 10.1080/1061856021000043913
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